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Dual q Krawtchouk polynomials

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In mathematics, the dual q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.

Definition

The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by

K n ( λ ( x ) ; c , N | q ) = 3 Φ 2 ( q − n , q − x , c q x − N ; q − N , 0 | q ; q )

References

Dual q-Krawtchouk polynomials Wikipedia
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